---
id: 5900f47d1000cf542c50ff8f
challengeType: 5
title: 'Problem 272: Modular Cubes, part 2'
forumTopicId: 301922
---

## Description
<section id='description'>
For a positive number n, define C(n) as the number of the integers x, for which 1<x<n andx3≡1 mod n.


When n=91, there are 8 possible values for x, namely : 9, 16, 22, 29, 53, 74, 79, 81.
Thus, C(91)=8.

Find the sum of the positive numbers n≤1011 for which C(n)=242.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler272()</code> should return 8495585919506151000.
    testString: assert.strictEqual(euler272(), 8495585919506151000);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler272() {

  return true;
}

euler272();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>